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Finding the Third Proportional to 200,038.50 and 472,207.50

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Solution

The third proportional to 200,038.50 and 472,207.50 is: 1,114,685.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,038.50 : 472,207.50 = 472,207.50 : x
  2. Step 2: Convert to fraction form
    200,038.50/472,207.50 = 472,207.50/x
  3. Step 3: Cross multiply
    200,038.50x = 472,207.50 × 472,207.50
  4. Step 4: Simplify right side
    200,038.50x = 222,979,923,056.25
  5. Step 5: Solve for x
    x = 222,979,923,056.25/200,038.50
  6. Step 6: Final answer
    x = 1,114,685.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.